68491754100 has 648 divisors, whose sum is σ = 273967214976. Its totient is φ = 14152320000.

The previous prime is 68491754099. The next prime is 68491754117. The reversal of 68491754100 is 145719486.

68491754100 is a `hidden beast` number, since 6 + 8 + 491 + 7 + 54 + 100 = 666.

It is a super-2 number, since 2×68491754100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 131461840 + ... + 131462360.

It is an arithmetic number, because the mean of its divisors is an integer number (422788912).

Almost surely, 2^68491754100 is an apocalyptic number.

68491754100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68491754100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136983607488).

68491754100 is an abundant number, since it is smaller than the sum of its proper divisors (205475460876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68491754100 is a wasteful number, since it uses less digits than its factorization.

68491754100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 68491754100 in words is "sixty-eight billion, four hundred ninety-one million, seven hundred fifty-four thousand, one hundred".